Showing posts with label Calabi-Yau. Show all posts
Showing posts with label Calabi-Yau. Show all posts

Sunday, July 19, 2026

Detectable Frequencies

 Frequencies, that may be detected by a physical mechanism, may often tend to be reverberative vibrational oscillations, that are thenceforth to be propagated along the Rarita Structure, that resound along the interconnecting sub string-related fields, of which work to comprise the general multiplicity of the homotopic basis, by which the net respective Clifford vibrational index, is to be subtended in a covariant manner, via the net perturbative Fourier-Related-Progression, by the net respective Euclidean vibrational index.

The deeper that the Kahler-Based Quotient is to be, the more spontaneously resonant, that the eminently corroborative frequency, that is here to be of the respective Kahler Hamiltonian Topological Manifold, will consequently tend to be. 

The more dimensionally compact, that a Calabi-Yau Manifold is to be, the spontaneously deeper, that its eminently corroborative Kahler-Based Quotient, will consequently tend to be. This is to where, relatively compact Calabi-Yau Manifolds, dimensional-wise, tend to exhibit, relatively deep, Kahler-Based Quotients. Calabi-Yau Manifolds, tend to be of the same number of spatial dimensions. So; If two different and distinct Calabi-Yau spaces, of which are here to be exhibiting the same number of spatial dimensions, are to be covariant and co-differentiable, and one is to be more of a compact Hamiltonian Topological Manifold than the other, than the more compact one of the two, will consequently tend to work to spontaneously bear a deeper Kahler-Based Quotient, than the other of the two. 

Two different and distinct kinematically propagated Kahler Hamiltonian Topological Manifolds, are to work, in this particular case scenario, to be exhibiting the same spatial dimensionality. One of which, is more of a compact Ward-Cauchy-Related phenomenology, than the other one. The more compact implicit Hamiltonian Topological differentiable space, of kinematic propagational import, will tend to work to exhibit a relatively stronger resonant frequency, and a stronger resonant pulsation, than the less compact kinematically propagated Kahler Hamiltonian Topological Manifold, will tend to exhibit, if every other physical factor was otherwise fairly analogous here. 

If two different and distinct Kahler Hamiltonian Topological Manifolds, are here to be exhibiting the same spatial dimensionality, yet, one of these two respective implicit teams of mass-bearing discrete energy quanta, is here to be of a more compact Ward-Cauchy-Related nature, than the other of the two Kahler Hamiltonian Topological Manifolds, then it will thereby consequently tend to spontaneously occur, that the more compact kinematically propagated space of discrete energy quanta, will work to express a more resolute tense, of a Fourier-Related-Progression, than the other of the two spaces.

A heuristic, kinematically propagated, Kahler Hamiltonian Topological Manifold, that is relatively more compact, than an otherwise analogous spatially translated implicit team, of mass-bearing discrete energy quanta, will not only tend to be more resolute, than the ulterior team of mass-bearing discrete energy quanta, yet, it will also tend to be more succinct in its motion, than even another kinematically propagated Kahler Hamiltonian Topological Manifold, that is instead, to eminently bear a metric-gauge behavior, even though such an implicit third tense of an implicit team of energy, is otherwise analogous.

The proximal local presence of anti gravitational force, tends to facilitate the permeability, that an eminently regional, kinematically propagated, Kahler Hamiltonian Topological Manifold, is to be exhibiting, as it is here to be traveling through, such an implicit anti gravitational field. 



Monday, April 17, 2023

Calabi-Yau Manifolds And Kahler Manifolds

 A Calabi-Yau Manifold that works to bear an externalized topology, that is hermitian in the distribution of its composite Dell Pezzo Spaces, will often tend to bear the general nature, of acting as a Kahler Manifold. SINCERELY, SAM ROACH. Additionally; The more Ricci-Flat that a Kahler Manifold expresses itself as, the more piecewise continuous that the general process of its conservation of homotopic residue, will consequently tend to be.  

Thought is the inverse of distance, and frequency is the inverse of time; So, one may perceive, that the general rate of a given arbitrary tense of motion, is potentially to be expressible, as the general phenomenology, of inverse thought per inverse frequency.  

Gauged neutrino-related frequency tends to be tachyonic.

A De Rham Kahler Manifold , that works to express a Khovanov geometry, may often tend to exhibit less impedance, than an otherwise analogous De Rham Khaler Manifold, that, instead, works to express a symplectic geometry.  

When a De Rham Kahler Manifold is to alter, from initially working to express a symplectic geometry, into then spontaneously working to express a Khovanov geometry, the permittivity of the implicit Hamiltonian Operator, of which is here to be exhibiting a tense of the Mahler-Metric, will consequently tend to result, in respectively spontaneously expressing a more effectual permeation, through the general fabric of space-time phenomenology.  

A De Rham Kahler Manifold, that works to express a Khovanov geometry, may often tend to express a more concise exhibition of isotropic stability, than an otherwise analogous implicit Hamiltonian Operator, that is here to be working to behave as such a respective alternative type of a De Rham Kahler Manifold, that instead, is here to be expressing a symplectic tense of geometry, as this is here to be taken over the respective Fourier-Related-Progression, of its corroborative Lagrangian-Based motion, as such an implicit team of mass-bearing energy, is here to be propagated, along the general arena, of space-time-fabric. 

A De Rham Kahler Manifold, of which is physically transferred along the general course of space-time-fabric, via a Floer (co)homology, will often tend to have the reductional capacity, of working to incur the physical attribute of a relatively strong respective tense of group action, upon the holonomic substrate of such an inferred Hamiltonian Operator, of which is here to be acting as a De Rham Kahler Manifold, to where the directly associated Lagrangian-Based motion of such an implicit "team" of mass-bearing superstrings of discrete energy permittivity, is here to thence tend to bear the general physical attribute, of working to bear a homomorphic cohomology-related field of energy-based eigenstates, as taken over a directly associated Fourier-Related-Progression.

A spinning mass-bearing De Rham Hamiltonian Operator, that acts as a Kahler Manifold, that is here to Not bear a perturbation, in the re-calibration of its corroborative Chern Simons Invariants, will often have the general tendency, of working to maintain a steady charge.  

The main heuristic reason, as to why a Kahler manifold, when it is to be made spontaneously altered from initially being proximal local to a heuristic gravitational field, into subsequently being incurred into being proximal local to the proximal local presence of an anti gravitational field, that, under such a directly indicated case scenario, the earlier mentioned Kahler Manifold, may often tend to be altered in the cohomology-related geometry that it is here to be expressing, from initially working to spontaneously be exhibiting a symplectic geometry, into then working to spontaneously be exhibiting a Khovanov geometry, is because, the respective alteration, -- from the proximal local spontaneously incurred presence of an Ante-De-Sitter/De Sitter-Mode, (of which, is here to go from "drawing together" phenomenology, into then working to apply a holomorphic tense of a coherent wave-tug upon such a phenomenology), into its altering into the proximal local spontaneously incurred presence of a De-Sitter/Anti-De-Sitter-Mode, (of which, is to work to apply a holomorphic tense of a coherent wave-tug upon a phenomenology, into then going into "drawing together" such respective phenomenology), may often  tend to alter the potentially eminently proximal local presence of a Calabi-Yau Manifold, of which is here to be proscribed of, in this particular case, to be working to exhibit the Kahler-Metric, to go from metaphorically behaving like a microcosmic morphed ring/disc, that is interwoven in its respective "knitting," into then metaphorically behaving, like a microcosmic morphed hook/mesh, that is interwoven in its respective "knitting."

The more piecewise continuous, that the particular Yau-Exact tendency is to be, for a given arbitrary respective physically transferred, eminently associated Kahler Hamiltonian Operator, the more succinct, that its eminently associated i*PI(Del) Action, may often tend to be phenotypically expressed as.  

A given arbitrary Kahler Hamiltonian Operator, that works to exhibit, a relatively strong metrically gauged pulse, will tend to spontaneously act to consequently exhibit, a relatively resolute Fourier-Related-Progression.  Furthermore; A given arbitrary Kahler Hamiltonian Operator, that works to exhibit, a relatively strong heuristically gauged pulse, will tend to spontaneously act to consequently exhibit, a relatively succinct Fourier-Related-Progression.  



Sunday, April 16, 2023

Yau-Exact Calabi-Yau Manifold

 When the motion of a Calabi-Yau Manifold is heuristically hermitian, it may be said to exhibit a Yau-Exact nature. To Be Continued! Sam Roach. 

Additionally; Purely Yau-Exact conditions tend to be theoretical. Generally; a mass-bearing Hamiltonian Operator, will tend to bear at least some degree, of a tense of gravitational topological variance. 

A mass-bearing De Rham Kahler Manifold, that works to express a Khovanov geometry, will often tend to exhibit a more concise homomorphic field, than an otherwise analogous mass-bearing De Rham Kahler Manifold, that instead, works to express a symplectic geometry, — as this is taken over its directly corresponding Fourier-Related-Progression, as it is being physically translated through space and time, via the general path, of its eminently associated Lagrangian-Based motion.  

A discrete increment of physical kinetic energy, of which is here to be working to express an order of discrete (~ conformal) spatial dimensionality, in terms of N = 1; To where such a said respective discrete increment of physical kinetic energy, is here to work to bear a Yang-Mills light-cone-gauge eigenstate, that is therefore to be of a non abelian nature, will often tend to work to bear a supersymmetric arrangement of partition-based discrepancies, -- to where the thenceforth eminently affiliated counter string, that is here to be situated at just to the anti holomorphic side of such an implicit initially considered superstring, is here to often tend to exhibit a supersymmetric mirrored symmetry, (it will often tend to work to exhibit an asymmetric respective delineation of partition-based discrepancies),  in relation to the initially considered respective implicit superstring, of a discrete tense of kinetic energy permittivity. 

A Hamiltonian Operator, that works to exhibit a relatively stable metric condition, will often tend to work to bear a more resolute cochain complex, in its eminently associated net cohomology-related eigenstate, than an otherwise analogous Hamiltonian Operator, that instead, works to exhibit a less stable metric condition.  

A quickly spinning recursively rotating mass-bearing Kahler Manifold, that does not bear any spontaneous alteration in its viably eminent tense of spin-orbital momentum, will often tend to work to bear, a relatively resolute cochain complex, in its net cohomology-related eigenstate.  

The proximal local presence of entropy, may often tend to potentially work to decrease, the general physical attribute, of the resolute characteristic of the cochain complex, that is eminently associated, wit the directly related net cohomology-related eigenstate, that is here to be respectively inter-related, to the interaction that is here to exist, between the Lagrangian of a kinematically delineated Hamiltonian Operator, with its immediately surrounding physical environment of zero-point energy.  

A charged diffeomorphic Kahler Manifold, will often tend to exhibit relatively less entropy, than an otherwise analogous charged Kahler Manifold, that instead, does not exhibit the general tense, of an eminently externalized diffeomorphic topological geometry.  

The greater that the inertial resolution of a compact Kahler Hamiltonian Operator is to be, the stronger that its fractal modulus will tend to be. Furthermore; The greater that the inertial succinctness of a compact Kahler Hamiltonian Operator is to be, the stronger that its elastic modulus will tend to be.  

A reductional, vibrational, Lagrangian-Based Trace, is heuristically of two coupled spatial dimensions, plus time.

When the dimensional wave-tug, that is incurred upon the kinematic spatial translation, of a compact Hamiltonian Operator, is to be maintained, in so as to spontaneously act as being consistently stable, this general physical condition, may often tend to facilitate, the capability, of working to enhance, the potentially viable physical characteristic, of gauge-invariance, upon the demonstrative effective covariant net action, of the earlier mentioned, compact Hamiltonian Operator.  

When an accelerating Kahler Hamiltonian Operator, is disc shaped, the potentially applicable physical condition, of the proximal local  incursion, of an escalating Clifford-Based Lagrangian Expansion, may often tend to work to consequently facilitate, the eminent resultant potentially applicable physical condition, of the proximal local incursion, of an escalating Euclidean-Based Lagrangian Expansion.  




Wednesday, February 15, 2023

What Mass Is

 With a Calabi-Yau-Related Manifold, the Yukawa Coupling between its Majorana-Weyl-Invariant-Mode and its resonant frequency, has the general tendency, of working to form its mass. SAM ROACH.

Saturday, February 4, 2023

Spatial Dimensionality Of Neutrinos

In league with my particular model of string theory; Neutrinos tend to work to bear both a Riemann metric component, And, a Nijenhuis metric component. Although the Riemann metric component of a neutrino, tends to work to bear a lack of spatial dimensionality; The Nijenhuis metric component of a neutrino, tends to work to bear 12 spatial dimensions. This is facilitated, in part, on account of a phenomenology, that I call, the proximal local presence, of, "The Double-Helicit Calabi-Yau Manifold." For Instance; Do you recall how, at a reverse-fractal tense, DNA exists, as a double-helicit holonomy of topological manifold? Now; Take this down to the superstring-related level. Imagine a tense of a double-helix, yet, in this particular case, think of this in terms of the windings of superstring-related phenomenology. Even though such a supposed holonomic structure, were here, in a way, to have the workings, of a 12 spatial dimensional framework, the expressed nature of such a "double-helix" of a Calabi-Yau space, would work to form a tense of a Mobius-Related inter-relationship, as taken at the Poincare level, to the internal reference-frame of the relative Riemann vantage-point, when in relation, to the Poincare level of the internal reference-frame of the relative Nijenhuis vantage-point. Such an inferred tense, of a "Mobius-Related inter-relationship," would therefore have the tendency, of making the holonomic presence of the metric-gauge-related source, that is here to be of the angular momentum of such a neutrino, appear, via detection, to be "dimensionless," in spite of the physical condition, that at the perspective, that is Poincare to the internal reference-frame of the Nijehuis exhibition of such a neutrino, in a way, is here, instead, to be of a 12 spatial dimensional holonomic framework.THANK YOU! TO BE CONTINUED!SINCERELY, SAMUEL DAVID ROACH. 

Thursday, January 26, 2023

Calabi-Yau Manifold And Mass

 With A Noether-Based Calabi-Yau Hamiltonian Operator; The Yukawa-Based coupling of the net Majorana-Weyl-Invariant-Mode that it expresses, with its net resonant frequency, tends to facilitate the formation of its mass. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Monday, January 23, 2023

Enhanced Torsion Of Calabi-Yau Manifold

 When a given arbitrary spinning holomorphically driven Noether-Based Calabi-Yau Manifold, that is here to maintain an angular momentum that is gauge-invariant in its net direction, is hereby to recursively fluctuate (back-and-forth) from acting as a sporadically delineated Hamiltonian Operator of topological manifold, into then spontaneously acting as a delineated Kahler-Based topological manifold of Hamiltonian Operation, it will therefore often tend to follow, that such an inferred Calabi-Yau-Related Hamiltonian Operator, will thereby have the potential tendency, of resultantly having a potential enhancement of torsion, as taken upon the particular physical eigenbase of space-time-fabric, of which such a stated Hamiltonian Operator of a Calabli-Yau nature is to be acting upon, as such a system of energy-related eigenstate(s) is to be incurred upon the kinematically covariant substrate of Ward-Cauchy-Related pressurized vacuum, that such an inferred recursively perturbative Calabi-Yau Manifold is to traveling both through and amongst, as taken over the directly corresponding Fourier-Related-Progression,  in which it is to be kinematically functioning, as such an inferred recursively operating "team," of one or more interdependently functioning energy-related eigenstates. TO BE CONTINUED! SAM ROACH.

Sunday, January 22, 2023

Diffeomorphic Yau-Exact Calabi-Yau Manifold -- Kahler Topological Manifold

 A diffeomorphic Noether-Based Yau-Exact Calabi-Yau Manifold always tends to be a Kahler topological Manifold, yet, a Calabi-Yau Kahler topological manifold does not always tend to be diffeomorphic. SINCERELY, SAM ROACH.

Saturday, January 21, 2023

Kahler Manifolds -- Aerodynamic

 Kinematically delineated Calabi-Yau Manifolds that are Kahler, have the general tendency of being more aerodynamic, than otherwise analogous Calabi-Yau Manifolds that are not Kahler. This is because such Kahler Manifolds, since these have a smooth Riemann surface, will tend to work to bear both less Chern-Simons Lagrangian-Based spurs and less Chern-Simons metric-based spurs. This just stated condition, works to facilitate the general physical condition, in which such mentioned Calabi-Yau Manifolds, will thereby consequently tend to work to bear both a more hermitian Lagrangian-Based spatial transfer, as well as tending to work to bear a more hermitian metric-based spatial transfer. This general condition, will consequently lead to the general physical attribute, in which such an implied Kahler Manifold, will thereby resultantly tend to spontaneously work to bear both a more hermitian angular momentum, as well as spontaneously working to bear a more hermitian spin-orbital momentum. This thereby tends to free-up the motion of such an inferred Kahler-Based Calabi-Yau Manifold, to where, as implied before,  it is thereby to consequently tend to end-up spontaneously becoming more "aerodynamic," than an otherwise analogous kinematically delineated Calabi-Yau Manifold. TO BE CONTINUED! SAM ROACH. 

Thursday, January 19, 2023

Calabi-Yau Manifold With A Lack Of Homotopic Symmetry -- Less Likely To Be Highly Kahler

 A given arbitrary Calabi-Yau Manifold, that is here to express a relative lack of homotopic symmetry, will consequently tend to be less likely to express, the physical condition of being highly Kahler. SAMUEL ROACH. (1989).

When A Yau-Exact Calabi-Yau Manifold Is Kahler

 When a Yau-Exact Calabi-Yau Manifold, is to work to bear a recursive physically attributable spatial translation, of its covariant proximal local homotopic metric-related characteristics, in a piecewise continuous manner, as taken over a directly corresponding Fourier-Related-Progression, this will often tend to be indicative of the proximal local presence, of a topological manifold, of which is here to be expressing the general quality, of exhibiting the display of a tense of the Kahler-Metric. SAM.(1989). 

Monday, January 16, 2023

Calabi-Yau Manifold -- Cevita Action -- Kahler-Based Characteristics

 When a given arbitrary heuristic Calabi-Yau Manifold, is to be physically enacted upon, by a particular genus of the Cevita Action, this may often tend to lower the probability, that such an inferred Yau-Exact Hamiltonian Operator, will consequently be able to spontaneously express the incurred exemplification, of a set of respectively resultant Kahler-Based characteristics. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Calabi-Yau Manifold -- Wess-Zumino Action -- Kahler-Based Characteristics

 When a given arbitrary heuristic Calabi-Yau Manifold, is physically enacted upon, by the proximal local incursion, of a certain genus of the Wess-Zumino Action, this may often tend to enhance the probability, that such an inferred  Yau-Exact genus of a topological manifold, will consequently work to bear a heightened tense, of spontaneously working to express, a resultant exemplification, of a directly associated set, of corelative Kahler-Based characteristics. SAMUEL DAVID ROACH. (1989).

Tuesday, December 13, 2022

Some Cool Neat Stuff As To Gravitational Topological Variance (GT's)

 In general; Here is a refined synapsis, as to how to work to determine the gravitational topological variance, for a superstring of discrete energy permittivity, when in lieu of the cross, between both the number of spatial dimensions that such a said superstring is to be working to exhibit, in a given arbitrary case scenario, as well as also working to consider, the number of spatial dimensions that such a stated superstring of discrete energy permittivity is to be traveling through. (The number of spatial dimensions, that are of the medium of space-time-fabric, of which such a mentioned string, is to be in the process of being transferred through, over a relatively transient proscribed respective duration of time.)

Let us initially consider the variable, "D," to work to signify or denote, here, the number of spatial dimensions, of which the herein considered proximal local superstring of discrete energy permittivity, is to be exhibiting, as it is being in the general process of being physically transferred, from one given arbitrary respective locus in space and time, to another given arbitrary respective locus in space and time. Let us next consider, that the variable, "N," is here to work to signify or denote, the number of spatial dimensions, of which the space-time-fabric, that such a superstring of discrete energy permittivity is to be traveling through, is thence to be working to be exhibiting. This being the case, one may therefore say:

GT(v) (The gravitational topological variance) = 


(((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)*(e^(2*(1-N)))+ 1))*(((N^.5)/N)*((e^(The Ricci Flow))^D) (+ - ihat, + - jhat, + - khat, ... + - q(n)hat.))

This means, that aside from the heuristic wobbling, that is of any one particular given arbitrary superstring of discrete energy permittivity, that, due to the general tendency, of the incurred force of gravity, upon such a generic stated string, that the length of the each of the spatial dimensions, of which are here to be proximal local, to the physical presence of such a said superstring, may thereby vary in the scalar magnitude of their exhibited display, by a factor of up to (+ -) The scalar amplitude, that is of the herein inferred GT's.

For example.Let us consider an electron. It heuristically has six spatial dimensions plus time. (On the order, of being related to a "Calabi-Yau Manifold.")  So "D," here, will have a value of "6."

Next. Let us consider such an electron, to be moving through a medium of space-time-fabric, of which is here to consist, of an exhibited display, of six spatial dimensions plus time. So "N," here, is also "6."

This would thence mean, that the "lengths" of the six individually taken spatial dimensions, that are here of each of the six inferred spatial axions, are going to vary in their scalar amplitude, up to a factor of + or - ABOUT "5.01672812*10^(-6)" of the heuristically considered length, that these would otherwise tend to be exhibiting, just on the account, of the general influence, of the effect of the hereupon inclusive incursion, of the proximal local force of gravity, that is here to be enacted, upon the multiplicity of such inferred individually taken superstrings, of discrete energy permittivity. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

To Refine my math more, just to make this idea hit home a little better; 

When one is to be dealing with a Ward-Cauchy-Related field, of Cotangent Bundle R(N),  as such a field is here to be heuristically comprised of by M spatial dimensions (to where, M is here to be analogous to what I had earlier termed of, as being, "D"), as taken over an eminently corroborative Fourier transform, that it is thereby to consequently follow, that the Gravitational Topological Variance, is thence to be:

GT(v(M)) = (((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)))+1))*(((N^.5)/N)*((e^(The Ricci Flow))^M)  (+ - ihat, + - j hat, + - khat, ... + - q(n) hat.)) Thank You For Your Understanding!

Friday, August 19, 2022

Balanced Ricci Flow Augmentation/Diminishment -- Balanced Cohomology-Related Generation/Degeneration -- Yau-Exact Nature

 The more piecewise continuous of a balance, that the inter-relationship between the regional proximal local tense of Ricci Flow Augmentation is to be, when this is in conjunction with the exhibited regional proximal local tense of Ricci Flow Diminishment, for a given arbitrary respective kinematically functional Hamiltonian Operator, of which is here to be directly correlative to such a related given arbitrary case scenario, the more piecewise continuous of a balance, that the directly corresponding cohomology-related generation is to work to exhibit -- in its eminent inter-relationship to its corroborative cohomology-related de-generation, -- to where, the more piecewise continuous of a Yau-Exact nature, of which such an implied Calabi-Yau-Related Hamiltonian Operator, is thereby to consequently tend to result, in working to exhibit, as this is here to be taken, over the duration course, of a correlative Fourier-Related-Progression. SAM ROACH.

Tuesday, February 22, 2022

Heuristic Calabi-Yau Manifold -- No Spurs In Its Motion

 A heuristic Calabi-Yau Manifold, tends to smoothly generate as much cohomology as it is to de-generate, as it is here to tend to bear no Lagrangian-Based spurs, and, such a stated heuristic Calabi-Yau Manifold, is also to work to bear no metric-based spurs, as well, over the course of its kinematic motion, via the durational course, of a correlative period of discrete time. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989 -- PINCKNEY, MI). 

Monday, February 21, 2022

Calabi-Related Manifolds

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be proximal local to a physical environment, of which is here, to work to be exhibiting the display of a flat Ricci Curvature, then, such an inferred "team" of mass-bearing discrete energy quanta, may then be said, to be generally tending to emulate the eminent presence, of a heuristic Calabi-Yau Manifold. Next; When a given arbitrary cohesive set of discrete kinetic energy quanta, is to be proximal local to a physical environment, of which is here, to work to be exhibiting the display of a flat Ricci Curvature, then, such an inferred "team" of kinetic energy quanta, may then be said, to generally be tending to emulate the eminent presence, of what I happen to term of, as being, a heuristic "Calabi-Wilson-Gordan" Manifold. To Conclude; When a given arbitrary cohesive set of discrete electromagnetic energy quanta, is to be proximal local to a physical environment, of which is here, to work to be exhibiting the display of a flat Ricci Curvature, then, such an inferred "team" of (quantized) electromagnetic energy quanta, may then be said, to generally be tending to emulate the general presence, of what I happen to term of, as being, a heuristic "Calabi-Calabi" Manifold. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Tuesday, October 26, 2021

As To Heuristic Calabi-Yau Strings

 A mas-bearing superstring of discrete energy quanta, may be said to be exhibiting the display of a heuristic Calabi-Yau nature, when it is Yau-Exact. A mass-bearing superstring may be said to be Yau-Exact, when it is to be proximal local, to a physical environment, in which the gravitational force is not altering at all. A Ward-Cauchy physical environment, in which the gravitational force is not altering at all, may be said to be "Ricci Flat." SAM.

Saturday, August 7, 2021

Reversal In Spin-Orbital Momentum -- Anti Holomorphic Kahler Conditions

 Let us initially consider a kinematic spatially transferred Calabi-Yau Manifold, (to where, such a stated Manifold, is here to be of the nature, of acting as a mass-bearing cohesive set of discrete energy quanta), that is here to be work to bear a Lagrangian-Based tense, of behaving in a hermitian manner, over an initially considered proscribed duration of time. Let us next say, that the initially considered mappable-tracing of the cohomology-related path, that such a stated mass-related manifold is to be propagating through, may be most succinctly described of, as being of the general nature, of exhibiting the display of a De Rham cohomology. (This is here to be taken, over a respective sequential series of correlative group-related instantons.) Let us next stipulate, that such a said Calabi-Yau Manifold, is here, over the course of the earlier inferred set of such initially considered physical conditions, to work to bear a consistent tense, in both its directly associated spin-orbital momentum, and, to where such an eluded-to "team" of mass-bearing discrete energy quanta, is also here to work to bear a consistent tense, of a transversally-based momentum. Now; Imagine that the inferred topological entity, that is here to be acting as a Calabi-Yau Manifold, is to spontaneously make a reversal, in its directly corresponding direction of spin-orbital momentum. At such a point in time, at which such a said reversal in the direction of the spin-orbital momentum, that is of such a "team" of mass-bearing energy, is to happen, it will consequently tend to follow, that such a stated "reversal," will thereby often tend to result, in a consequential reversal in the holomorphic "drive," of such a mentioned kinematically propagated Calabi-Yau Manifold, as this is here to be taken, over the durational course of that Fourier Transformation, that is here to be directly associated, with the directional wave-tug, of the correlative holonomic substrate of discrete energy phenomenology, of such a given arbitrary respective case, (to where such a stated "holonomic substrate," is here to be referring, to the general nature, as to working to describe the stated "Calabi-Yau Manifold," as being, in this particular case scenario, the directly correlative "thing" of discrete energy, as it is in the process of being spatially transferred, via the directly corresponding spatial translation, that is here to be of the directly corresponding Lagrangian-Based motion, in which the inferred tense of energy of such a general case, is here to be kinetically transported, from one spot to another, over time.) It follows; That such a given arbitrary respective spontaneous reversal in spin-orbital momentum, will not only often tend to work to form the proximal local presence of anti holomorphic Kahler conditions, at the locus in which such a stated reversal is to occur, -- there will also be such a respective directly corresponding tendency, here, to where the proximal local presence, that is here to be of such a general type of an occurrence, in which such anti holomorphic Kahler conditions are here to consequently tend to occur, will thereby often tend to also form the proximal local presence, of a Lagrangian-Based Chern-Simons singularity, again, as is here to be inferred, at the locus in which such a stated reversal in spin-orbital momentum, is here to occur. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM.

Thursday, July 22, 2021

Spurious Calabi-Yau- Manifold

 Let’s initially consider a theoretical simplest case scenario, of an oscillating Calabi-Yau-Manifold, — to where its spin-orbital coni-axion is radially fixed, to where there is here to be no directly corresponding co-differentiable torsion to be applied, in a Gliosis-Based manner, upon the topological manifold of such a given arbitrary case of a Calabi-Yau-Manifold. When a Calabi-Yau-Manifold is to oscillate in a spurious manner, instead of in a hermitian manner — to where, it would otherwise tend to work to bear a heuristic manner of spatial dimensionality — such a said Calabi-Yau-Manifold, will consequently tend to work to bear a tense of recursively inverted vibrational oscillations, that are here to be directly corroborative to each respective set of one or more augmented topological deformations, that are here to be in consideration of the holonomic structure of such a gauged entity, to where these of which are here to be spatially balanced, by a respective correlative set of one or more ablated topological deformations, that are also to be in consideration of the holonomic structure of such a gauged entity. This may make it a little bit clearer. In so as there are here to be no viable puncture-related deformations in the mappable-tracing of the external shell of the directly corresponding Riemann surface of a heuristic Calabi-Yau-Space — whether or not it is to oscillate in a manner, that is hermitian or in a manner that is spurious — in so long as the cotangent bundle that is here to be taken into consideration, is of a constant spatial dimensionality, to where it is of a non-compact nature, and, in so long as the geometry of the correlative cotangent bundle is either consistently of a symplectic nature OR consistently of a Khovanov nature, then, the scalar amplitude/magnitude of the “ regional-swipe” of the metric-gauge-related Nijenhuis “surface-area,” of the inferred external Ward-Neumann surface of such an inferred/said Riemann surface, is to maintain the same magnitude of such a stated “regional-swipe” of metric-gauge-related Nijenhuis “surface-area.” This may not be the best wording, yet, perhaps you can see what I am trying to convey! TO BE CONTINUED! I WILL CONTINUE WITH THE SUSPENSE LATER! SAM.